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Simplifying -6x + 8y + -3z = 0 Solving -6x + 8y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8y' to each side of the equation. -6x + 8y + -8y + -3z = 0 + -8y Combine like terms: 8y + -8y = 0 -6x + 0 + -3z = 0 + -8y -6x + -3z = 0 + -8y Remove the zero: -6x + -3z = -8y Add '3z' to each side of the equation. -6x + -3z + 3z = -8y + 3z Combine like terms: -3z + 3z = 0 -6x + 0 = -8y + 3z -6x = -8y + 3z Divide each side by '-6'. x = 1.333333333y + -0.5z Simplifying x = 1.333333333y + -0.5z
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